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Finding the Fourth Proportional to 11,159.66, 15,384.93 and 10,814.60

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Solution

The fourth proportional to 11,159.66, 15,384.93 and 10,814.60 is: 14,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.66 : 15,384.93 = 10,814.60 : x
  2. Step 2: Convert to fraction form
    11,159.66/15,384.93 = 10,814.60/x
  3. Step 3: Cross multiply
    11,159.66x = 15,384.93 × 10,814.60
  4. Step 4: Simplify right side
    11,159.66x = 166,381,863.98
  5. Step 5: Solve for x
    x = 166,381,863.98/11,159.66
  6. Step 6: Final answer
    x = 14,909.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.